Provenance for the Description Logic ELHr
This work addresses a specific technical challenge in ontology-based data access for knowledge representation, but it is incremental as it builds on existing provenance frameworks.
The paper tackles the problem of handling provenance information in ELHr ontologies by extending classical data provenance with semirings, and shows that assuming multiplicative idempotency mitigates difficulties posed by conjunctions, enabling analysis of ontology completion, relevant axioms computation, and query answering.
We address the problem of handling provenance information in ELHr ontologies. We consider a setting recently introduced for ontology-based data access, based on semirings and extending classical data provenance, in which ontology axioms are annotated with provenance tokens. A consequence inherits the provenance of the axioms involved in deriving it, yielding a provenance polynomial as an annotation. We analyse the semantics for the ELHr case and show that the presence of conjunctions poses various difficulties for handling provenance, some of which are mitigated by assuming multiplicative idempotency of the semiring. Under this assumption, we study three problems: ontology completion with provenance, computing the set of relevant axioms for a consequence, and query answering.